Beamont feels that it is "not improbable" that Elizabeth is the daughter of John de Argenteyn mentioned in the iter or assize held at Bedford on the 25th of June 1330, but in the "Outline of the history of the Argentein family: 14th and 15th centuries" cited below, the William de Boteler that this Elizabeth married is said to be the son of a Ralph de Boteler.
"This lady [William's wife] appears to have been sister and co-heir of Richard son of Nicholas de Havering, who died in 1335, in whose right her husband acquired half the manor of Chalkwell, co. Essex, which Thomas Butler, kt., alienated in 1498."